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Finding the Fourth Proportional to 4,200.50, 5,797.71 and 2,784.26

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Solution

The fourth proportional to 4,200.50, 5,797.71 and 2,784.26 is: 3,842.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.50 : 5,797.71 = 2,784.26 : x
  2. Step 2: Convert to fraction form
    4,200.50/5,797.71 = 2,784.26/x
  3. Step 3: Cross multiply
    4,200.50x = 5,797.71 × 2,784.26
  4. Step 4: Simplify right side
    4,200.50x = 16,142,303.06
  5. Step 5: Solve for x
    x = 16,142,303.06/4,200.50
  6. Step 6: Final answer
    x = 3,842.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.